Level 3
Vincent has some 20-cent coins and 50-cent coins which amount to more than $20 but less than $54. The number of 20-cent coins is 14 of all the coins he has. When he exchanges some 50-cent coins for 20-cent coins, the ratio of the number of 50-cent coins to 20-cent coins he now has become 1 : 6.
  1. What is the largest possible amount of money Vincent has?
  2. What is the total value of 50-cent coins that has been exchanged for 20-cent coins? Express the answer to 2 decimal place.
5 m
Level 3
Last month Mr Zhang gave his wife, Anna $4000 for household expenditure. Anna spent 60% of the sum on rental, 30% on food and saved the rest. This month, Mr Zhang reduced the sum he gave to Anna. Anna spent the same amount on rental and reduced the amount she spent on food by 30%. She saved the remaining 10% of the sum given to her this month. By what percentage was the sum given to Anna reduced?
5 m
Level 3 PSLE
Risa baked 185 more chicken puffs than tuna puffs. After selling 35 of the chicken puffs and half of the tuna puffs, she had 146 puffs left. How many puffs did she sell?
4 m
Level 3
Asher had $460 more money than Oscar at first. After Asher spent 34 of his money to buy a pair of pants and Oscar spent 15 of his money to buy a blouse, they had a total of $254 left. How much more did the pair of pants cost than the blouse?
4 m
Level 3
The total number of beads in Basket W, Basket X and Basket Y was 273. 29 of the beads from Basket W and 21 beads from Basket X were removed. More beads were then added into Basket Y until the number of beads in it was doubled. The ratio of the number of beads in Basket W to Basket X to Basket Y became 7 : 2 : 2.
  1. How many more beads were there in Basket W than Basket X at first?
  2. Find the total number of beads in Basket W and Basket Y in the end.
5 m
Level 3
There were some pink erasers and blue erasers. The erasers were packed into 2 bags. At first, Bag A contained 480 erasers and 40% of them were blue erasers. Bag B contained 300 erasers and 80% of them were blue erasers. How many pink erasers and blue erasers in total must be moved from Bag A to Bag B such that 20% of the erasers in Bag A are pink and 50% of the erasers in Bag B are blue?
5 m
Level 3
Kate had 96 more buttons than Violet. After Kate gave away 13 of her buttons and Violet gave away 34 of her buttons, Violet had 199 less buttons than Kate. How many buttons did Kate have at first?
4 m
Level 3
Zane had $120 less than Xavier. If Xavier spends $460 and Zane's mother gave Zane $200, Xavier will have 14 as much money as Zane. How much money did Zane and Xavier have?
4 m
Level 3
A store had 390 story books. There were Chinese, Malay and English story books in the ratio of 4 : 3 : 6. When the store assistant brought in another 60 new story books, the number of Chinese story books was increased by 20% and the number of Malay story books was increased by 110.
  1. What was the number of English story books that the store assistant brought in?
  2. What was the percentage increase in the number of English story books?
5 m
Level 3
20% of Nick's savings was $120 more than 30% of Will's savings. After Nick spent 23 of his savings and Will spent 40% of his savings, Nick had $13 more than Will. How much was Nick's saving at first?
5 m
Level 3
Container A contains 480 blue buttons and 590 purple buttons. Container B contains 590 blue buttons and 410 purple buttons. How many blue buttons and purple buttons must be removed from Container B to put into Container A so that 50% of the buttons in Container A are blue and 60% of the buttons in Container B are blue?
5 m
Level 3
Jane and Tina had $652. Tina had $76 more than Jane. Jane spent 2 times as much as Tina and was left with 23 as much as Tina. How much did Jane spend?
4 m
Level 3
Mr Zane had to collect some fruits from two stalls and deliver some fruits to another stall. He collected from Stall W and the ratio of avocados to papayas was 2 : 3. When he reached Stall X, he unloaded 56 of the papayas and some avocados from his vehicle. The ratio of avocados to papayas became 4 : 5. At Stall Y, 124 avocados and 26 papayas were collected and the number of avocados to papayas became the same.
  1. How many fruits were there on his vehicle after visiting Stall Y?
  2. How many avocados were delivered to Stall X?
5 m
Level 3
23 of Eva's money was equal to 15 of Gillian's money at first. After Eva spent $41 and Gillian spent 25 of her money, Eva had 13 as much money as Gillian.
  1. How much money did Gillian have at first?
  2. How much money did Gillian have in the end?
4 m
Level 3
Wendy had $779 more than Hazel. Wendy spent 0.6 of her money and Hazel spent 50% of her money. In the end, Wendy and Hazel had the same amount of money left. Find the amount of money that Wendy had in the end.
5 m
Level 3
Three girls gave an equal amount of money to buy a souvenir for Oscar. Diana used 13 of her money. Fiona used 34 of her money and Ruth used 12 of hers. They had a total of $190 at first. How much was the souvenir?
4 m
Level 3
A store owner had 130 more oranges than lemons. After he sold 80% of the oranges and 30% of the lemons, he was left 19 more lemons than oranges. What fraction of the fruits left were lemons?
5 m
Level 3
The museum tickets are priced at $10 and $5. The number of $10-dollar tickets available is 289 that of the number of $5-dollar tickets. 2 out of 3 of the $10-dollar tickets and all the $5-dollar tickets were sold. The ticket sales amounted to $8515. How much more would have been collected if all the tickets were sold?
4 m
Level 3
Yvonne and George collect pens and stickers. George has 70 more stickers than pens. George has 3 times the number of pens Yvonne has, and Yvonne has 40% more stickers than George. After Yvonne gives George all of her pens and George gives Yvonne 60% of his stickers, George has 64 more pens than stickers. Find the number of stickers Yvonne has at first.
5 m
Level 3
Auntie Zoe baked 45 more strawberry cookies than cheese cookies. After she gave 13 of the strawberry cookies and 0.4 of the cheese cookies to Hazel, she was left with 119 fewer cheese cookies than strawberry cookies. How many cookies did she bake?
5 m